Given the discrete random variable X with the probability mass function for the parameter 0< 0<1 as in Table Q3(a) and 10 independent observations have been taken from a distribution of (3, 0, 2, 1, 3, 2, 1, 0, 2, 1). Estimate the value of 0 by using the method of moment. (a) Table Q3(a) 1 X 3 P(X) 20 2(1–0) 1-0 3 3 3 3 (b) Let X,X,..., X, be a random sample of size n and given a > 0, 0>0 with the a probability density function of X _is f(x;a,0)= where 0

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question b

Given the discrete random variable X with the probability mass function for the
parameter 0< 0<1 as in Table Q3(a) and 10 independent observations have been
taken from a distribution of (3, 0, 2, 1, 3, 2, 1, 0, 2, 1). Estimate the value of 0 by
using the method of moment.
(a)
Table Q3(a)
1
X
3
P(X)
20
2(1–0)
1-0
3
3
3
3
(b)
Let X,X,..., X, be a random sample of size n and given a > 0, 0>0 with the
a
probability density function of X _is f(x;a,0)=
where 0<x<0.
%3D
Estimate a method of moments estimator for 0 and test for unbiased of estimator.
Transcribed Image Text:Given the discrete random variable X with the probability mass function for the parameter 0< 0<1 as in Table Q3(a) and 10 independent observations have been taken from a distribution of (3, 0, 2, 1, 3, 2, 1, 0, 2, 1). Estimate the value of 0 by using the method of moment. (a) Table Q3(a) 1 X 3 P(X) 20 2(1–0) 1-0 3 3 3 3 (b) Let X,X,..., X, be a random sample of size n and given a > 0, 0>0 with the a probability density function of X _is f(x;a,0)= where 0<x<0. %3D Estimate a method of moments estimator for 0 and test for unbiased of estimator.
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